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Finding the Fourth Proportional to 205.89, 283.26 and 170.52

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Solution

The fourth proportional to 205.89, 283.26 and 170.52 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 283.26 = 170.52 : x
  2. Step 2: Convert to fraction form
    205.89/283.26 = 170.52/x
  3. Step 3: Cross multiply
    205.89x = 283.26 × 170.52
  4. Step 4: Simplify right side
    205.89x = 48,301.50
  5. Step 5: Solve for x
    x = 48,301.50/205.89
  6. Step 6: Final answer
    x = 234.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.